diff --git "a/ScienceQA.csv" "b/ScienceQA.csv" --- "a/ScienceQA.csv" +++ "b/ScienceQA.csv" @@ -1,207 +1,101 @@ -id,type,subject,prompt,answer -1,选择题,材料工程,"下列因素中, 对纯金属导电性影响最显著的是( )。 A.晶体结构类型(如BCC、FCC) B.杂质元素含量 C.位错密度 D.温度",D -2,选择题,化学,"下列有关物质结构的说法正确的是 ( ) A.研究人员经过不懈努力, 通过NaNO3和Na2O在573K反应制得了Na3NO4, 并且发现NaNO4也是存在的, 后者与水反应的化学方程式: NaNO4+H2O=NaNO3+H2O2。 B.随着计算化学的发展, 研究人员通过“晶体结构预测”模型进行演算发现, 一定条件下能够得到氦钠化合物, 并进一步合成得到Na2He。此外“一定条件”不可能指常温常压。 C.三苯锗丙酸(Ph3GeCH2CH2COOH)可用于合成有机锗化合物(一类具有高效低毒的抗癌药物)。三苯锗丙酸可与H2最多按1:9反应, 也能通过缩聚反应制备有机高分子药物。 D.分子式为C8H11N的有机物, 分子内含有苯环和氨基(-NH2)的同分异构体共有14种。",ABD -3,选择题,化学,"A、B、C、D、E五种元素的原子序数依次增大。已知A、B、C、D是短周期元素中的四种非金属元素, A元素的原子形成的离子就是一个质子, C、D在元素同期表中处于相邻的位置, 它们的单质在常温下均为无色气体, B的一种核素在考古时常用来鉴定一些文物的年代, E是地壳中含量最高的金属元素。下列说法错误的是 ( )A.B为碳元素, 其同素异形体C60构成分子晶体故能溶于有机溶剂, 而石墨则往往可以出现在死火山口, 因为那里曾经历过高温高压。 B.化合物BD2是直线型分子, 若遇E同周期的金属单质着火均可用BD2灭火。 C.用E单质作阳极, 石墨电极作阴极电解NaHCO3溶液, 电解一开始就会在阴极区出现白色沉淀。 D.A、C两元素可能形成原子个数比(A: C)为3: 1、2: 1以及1: 1的化合物",ABC -4,问答题,化学,"对于化学式为C5H12O2的二元醇, 给出其主链为4个碳原子的同分异构体种类",6 -5,选择题,化学,"X、Y是周期表前二十号元素 , 已知X、Y之间原子序数相差3 , X、Y能形成化合物M 。下列说法正确的是(多选) A.若X、Y处于同一周期, 则化合物M不可能是正四面体型分子晶体 B.若X的单质常温下是气体, 则Y的单质常温下也是气体 C.若X、Y两元素周期数差1, 则属于离子化合物的M多余四种 D.若M属于离子晶体, 则其中可能含有非极性键",CD -6,选择题,生物,"根据Ensembl数据库的110版本,以下哪个人类基因不是位于chr4q28? A:CLNK B:NPY5R C:UNCX D:LINC02516",ABC -7,选择题,生物,以下哪些基因属于人类KEGG数据库中的原发性免疫缺陷基因集合中?(多选题) A:CD8B B:JAK3 C:IGH D:ORAI1,ABCD -8,问答题,生物,斑竹鲨纳米抗体germline上基因cluster是由几个V、几个D和几个J基因组成的?,"1,3,1" -9,问答题,生物,"假如一个疾病由A、B、C、D四个基因共同控制, 其中A和B为连锁基因, AB连锁, ab连锁。两个AaBbCcDd基因型的父母, 其后代基因型为AaBbCcDd及AABbCcDd的产生概率会是多少?","0.125,0" -10,选择题,生物,以下哪种是空间转录组学的方法? A:Stereo-seq B:Slide-seq C:MAGIC-seq D:PLATO,ABC -11,问答题,生物,"在一种珍稀的高山植物的叶绿体中, 发现了一种特殊的生物大分子。其基本结构单位中, 五碳糖的第4位碳原子上连接了一个特殊的化学基团, 这个基团由一个含硫的环状结构与一个短链脂肪酸组成。含氮碱基包含了常见的腺嘌呤、鸟嘌呤、胞嘧啶, 但胸腺嘧啶被一种甲基化程度更高的类似碱基所取代。这些基本单位之间通过磷酸二酯键相连形成一条主链, 主链上每隔一段距离就会有一个侧链分支, 分支由若干个磷酸化的核糖核苷酸组成, 这些分支与叶绿体中的光合色素分子有着紧密的相互作用, 并且在植物适应高海拔强紫外线环境下的光合基因表达调控中起到关键作用。那么这种生物大分子是什么? ",叶绿体DNA -12,问答题,生物,一个mRNA序列如下所示: AUGGAAUUCCGUAAUGGCC。请根据遗传密码表计算出对应的蛋白质的相对分子质量,752 -13,问答题,生物,"某种维生素作为辅酶参与了多种代谢反应, 缺乏这种维生素时, 体内一些重要的代谢途径会受到影响, 导致能量供应不足, 甚至引起一些特定的疾病。研究发现, 这种维生素的活性形式在参与糖代谢和脂肪酸代谢时尤其重要。补充这种维生素后, 缺乏症状得到了改善, 体内代谢恢复正常。这种维生素可能是什么?",维生素B5(泛酸) -14,问答题,生物,"某种维生素的缺乏会导致皮肤、眼睛和神经系统的健康问题。该维生素在体内的活性形式作为辅酶, 参与了氨基酸代谢、脂肪酸合成和一些重要的酶促反应。补充该维生素后, 相关症状得到显著缓解。这种维生素是什么?",维生素B2(核黄素) -15,问答题,生物,"某细菌基因编码一个由300个氨基酸组成的蛋白质。已��该细菌的转录和翻译过程均以每秒10个核苷酸的速度进行。假设转录和翻译过程完全重叠(即转录的同时进行翻译), 且不考虑起始和终止过程的时间消耗。计算该蛋白质生物合成的最短时间(以秒为单位)",0.3 -16,问答题,机械工程,"温度为300K, 转子线速度为1100m/s, 若不考虑转子中p(r) / p_w < 0.001的部分的分离作用, 离心机的径向分离系数(气体介质为UF6)是多少?",1.061 -17,问答题,物理,"一个\Sigma^-粒子的动能是220MeV, 按\Sigma^- => \pi^- + n衰变, 计算衰变产物的总动能。(单位为MeV, 精确到整数)",338 -18,问答题,物理,"癌细胞比健康细胞更易受到x和\gamma辐射的伤害。早先, 辐射疗法的标准源是60Co, 它以半衰期5.27y衰变为60Ni的一个激发态。该Ni核立刻发出两个\gamma射线光子, 每一个的能量都近似1.2MeV。在医用的那种型号为6000 Ci的源中有多少放射性的60Co核。",5.3\times10^22 -19,问答题,机械工程,"汽车1/4垂向模型已知如下参数: 1/4车体质量Mb=317.5kg, 车轮质量Mw=45.4kg, 轮胎刚度kt=192000N/m, 悬架刚度ks=22000N/m, 悬架阻尼比0.28, 传动比0.8, 求悬架阻尼系数和减振器阻尼系数(单位Ns/m, 精确到整数)","1480, 2313" -20,问答题,机械工程,"某台步进电动机, 其相数为A-B-C三相, 若采用双三拍运行方式, 若使其步距角为1.5度, 转子的齿数是多少?",80 -21,问答题,机械工程,三相双极性SPWM的输出电压的最大幅值为方波PWM的输出电压的最大幅值的百分之多少(精确到小数点后一位),78.50% -22,问答题,机械工程,"有一FFT处理器, 用来估算实数信号的频谱, 要求抽样点数N 是2的整数次幂, 频率分辨力≤20Hz, 如果采用的抽样时间间隔为40μs, 试确定: (1) 最小记录长度, 单位为秒。 (2) 所允许处理的信号的最高频率, 单位为kHz。 (3) 在一个记录中的最小点数,无单位","0.05, 12.5, 2048" -23,问答题,物理,"一个1.00g的钐样品以时率120粒子/s发射\alpha粒子。相关的同位素是147Sm, 在大块钐中147Sm的天然丰度为15.0%。计算衰变过程的半衰期(以年为单位)",1.13\times10^11 -24,问答题,机械工程,"一台单相变压器额定容量50 kVA, 额定电压3300/220V, 原方绕组N1 = 450匝。当它向电压UN = 220V, 功率PN = 500W, 功率因数cosφN = 0.8, 效率ηN = 0.85的单相异步电动机供电时, 最多可接多少台这种类型电动机(忽略变压器内阻抗压降)",68 -25,问答题,数学,"在球面 2x^2 + y^2 + z^2 = 1 上求一点, 使得函数 f(x, y, z) = x^2 + y^2 + tan^2(z) 在该点沿着曲线 x = t^2, y = 1 - 2t, z = t^3 - 3t 在点 (1, -1, -2) 处的切线方向的方向导数最大, 分别给出该点的三个坐标。","\sqrt{6}/6,-\sqrt{6}/3,0" -26,问答题,数学,"设输入空间为X = R^2, 考虑由两个嵌套的坐标轴对齐矩形R_1, R_2之差所定义的二元函数类C。试求该函数类C的VC维数。",8 -27,问答题,数学,"设一组0-1变量w = {w_1, w_2, …, w_N}的分布定义为p(w) \approxprop1-\prod_{i=1}^N w_i, 即当w = (1,1, …,1)时有p(w)=0, 而对其他配置有p(w)=\frac{1}{2^N-1}。考虑变分分布族Q = {q(w) : q(w)= \prod_{i=1}^N q(w_i)}, 求最优分布q*对应的从q*到p的KL散度最小值",\log(2^N-1) -28,问答题,数学,给出凸d边形的VC维度,2d+1 -29,选择题,数学,定义在实数上的函数f(x) = e^x - 1符合下列哪些性质(多选题): A. 凸函数 B. 凹函数 C. 准凸函数 D. 准凹函数,ACD -30,问答题,数学,"设X是来⾃Beta(\theta,1)的⼀个单一的观测 设Y=-(logX)^-1,计算集合[y/2,y]的置信系数",0.2387 或 e^{-1/2}-e^{-1} -31,问答题,生物,环食指的长度是由单基因决定的从性遗传性状,且食指比环指短在男性中为显性性状,而 在女性中则为隐性性状。在一个理想群体中,男性食指比环指短所占比例为51%,则在女性中 该性状的比例为:,9% -32,选择题,数学,根据现代控制理论,以下哪些描述是正确的?A.极小值原理是古典变分法的一种特例 B.极小值原理给出的是充要条件 C.极小值原理也适用于输入不受限的情况 D.极小值原理和古典变分法的正则条件一样,CD -33,选择题,化学,以下对于光照下Z-丁烯和重氮甲烷的反应说法正确的是: A. 反应主要得到反式环丙烷。 B. 反应初期生成的卡宾为单线态卡宾。 C. 若向体系中加入大量全氟丙烷,则生成的反式环丙烷比例会上升。,BC -34,问答题,化学,现有100 ml 加入微量溴百里酚蓝的0.05 mol/L Na2CO3水溶液,现向其中每次滴加1 ml 0.1mol/L HCl溶液,计算理想情况下至少要滴加多少次才能使溶液变色(认为变色点pH为7.1),58 -35,问答题,化学,"数学家曾提出过一种具有非常独特对称性的K4网络结构,它又被称为Laves graph。K4结构和金刚石被证明为仅有的两种具有强各向同性(strongly isotropic)的可能晶体结构,且有很多其他有趣的数学性质。数学家曾经将其称为���大自然错过的晶体”,并好奇自然界是否真的存在这种结构的晶体。另一方面,化学家和物理学家早在五十年前就已经描述过这样的结构,目前也发现了一些具有K4晶体结构的MOF(金属有机骨架)。K4晶体属于立方晶系,其一个晶胞中有8个原子,每个原子均只与其最近邻的原子成键。这8个原子的坐标如下:(0 ,0 ,0 ),(1/4,2/4,3/4),(2/4,3/4,1/4),(3/4,1/4,2/4),(2/4,2/4,2/4 ),(3/4,0 ,1/4),(0,1/4,3/4),(1/4,3/4,0) ; 理论计算表明,如果该晶体由碳原子构成,这种碳单质将不会很稳定。而令人惊叹的是,目前已经发现氮元素的一种单质为稍微变形的K4结构。将氮气在2000K高温和110GPa的高压下反应,可以直接生成被称为cg-N的立方晶系晶体。请计算分析碳原子成键的键角(单位度)和碳原子的杂化方式。",120,sp2杂化 -36,问答题,化学,"已知cg-N相比理想K4晶体,所有原子仅沿着三次旋转轴的方向发生了相等大小的位移,坐标变为, (0+x,0+x,0+x), (1/4-x,2/4+x,3/4-x), (2/4+x,3/4-x,1/4-x), (3/4-x,1/4-x,2/4+x), (2/4+x,2/4+x,2/4+x), (3/4-x,0+x,1/4-x), (0+x,1/4-x,3/4-x), (1/4-x,3/4-x,0+x). 从而没有破坏三次对称性。实验测得氮-氮键键长为134.6pm,而cg-N的晶胞参数为a=3.4549.请给出cg-N中的N-N-N键角,精确到个位,单位为度。",109 -37,问答题,化学,化合物A为非放射性主族元素M与氧的化合物,将13.712gA与过量热稀硝酸充分反应后,得到不溶物B和溶液C,将B洗净后与过量草酸混合,加入过量稀硫酸并充分反应,生成的气体全部通入过量的熟石灰溶液中,得到4.004g不溶物质。控制温度,M的单质与氧反应,生成具有较强氧化性的D,D含氧10.38%。通过计算给出D和A的化学式。,"Pb2O3, 2PbO·PbO2 或 Pb3O4" -38,问答题,机械工程,气象气球携带一种时间常数为 15s 的一阶温度计,以 5m/s 的上升速度通过大气层。设温度按每升高 30m 下降 0.15℃的规律而变化,气球将温度和高度的数据用无线电送回地面。在 3000m 处所记录的温度为-l℃。试问实际出现-l℃的真实高度,单位为米。,2925 -39,问答题,机械工程,一个量孔的卸流系数Cq可以当水处在一个恒定的水头 h 时通过收集在一个规定时间间隔内流经该量孔的水得到的,其公式为Cq=W/(tρA(2gh)^(1/2)),求出Cq和它可能的误差,条件如下:W=865±0.5lbm,A=πd^2/4,d=0.5±0.001in,t=600±2s,g=32.17±0.1%ft/s^2,ρ=62.36±0.1%lbm/ft^3,h=12.02±0.01ft,考虑下面两个方面:(a)误差为绝对极限值;(b)误差为95%不确定度。请分别给出误差,精度为10^-3,"6\times 10^-3, 3.28\times 10^-3" -40,问答题,材料工程,是否可能存在一种铜 - 银合金,在平衡状态下由成分(质量分数)为 92% 银 - 8% 铜的 β 相和成分(质量分数)为 76% 银 - 24% 铜的液相组成?若可能,该合金的近似温度是多少(精确到100)?若不可能,请解释原因。,可能,800 -41,问答题,数学,考虑以下特征方程:s^4+2s^3+(3+K)s^2+9s+30=0。利用劳斯稳定性判据,确定使系统稳定的K的取值范围。,K > 49/6 -42,问答题,计算机,在图论中,单源最短路是个经典的问题。给出一张无向非负权图G,要求从给定的起点s出发计算出到达图中每个点的最短路数值。图中所有的边权都为非负实数,没有数值上的限制,但你可以在O(1)的时间内对任意两个数值进行比较和相加(也就是遵循比较-加法模型)。请问在不引入其他假设的条件下(如限制图的度数,平面图等)是否有在保证正确性的情况下复杂度比斐波那契堆优化下的Dijkstra更快的算法?此处的更快指存在一个图的稀疏性条件下(m与n的关系)该算法的渐进复杂度严格更优的情形。请依次回答以下问题:1)是否存在这样的算法;2)这样算法的复杂度是多少;注意,在单源最短路的算法中存在很多对数值范围作的假设,请仔细甄别,请勿将此类算法涵盖在本题的答案中。,"存在, O(m\sqrt{\log n \cdot \log\log n})" -43,问答题,计算机,"设计一个状态数最小的DFA,能够决定语言L={s\in {0,1}^*:s当中任意相邻的4位中都包含大于等于两个0},求该DFA的大小。",11 -44,问答题,计算机,"给出一张无向带权图 G(V, E, w),和一个点集 T ⊆ V,求将 T 里的点划分成两个非空连通块的最小割。这个问题可以通过最少调用多少次s-t最大流/最小割解决?注意,你在回答本问题时需要考虑最坏情况的渐进时间复杂度。另外,你可以使用随机算法,但需要保证依概率1在给定的时间复杂度内求出正确答案。",O(\log^3 n) -45,选择题,生物,下列关于Weismann种质论(germ plasm theory)的观点中错误的是: A. 种质论的核心是早期胚胎细胞中存在于细胞核中的决定因子(nuclear determinants)在细胞分裂中的��均等分配 B. 嵌合型发育理论(mosaic development theory)支持了种质论 C. 种质中发生的突变可以传递给子代,而体质中发生的突变无法传递给子代 D. 嵌合型发育理论是基于Hans Driesch在海胆四细胞胚胎中开展的实验,D -46,选择题,生物,旁侧抑制是生物个体发育过程中重要的调控机制,下列有关旁侧抑制的说法中错误的是: A.在发育过程中,许多细胞具有相同的分化潜能,但当其中一个细胞发生分化后,能够通过向周围邻近细胞发出抑制性信号,抑制周围细胞形成相同的分化细胞 1B.在神经组织发育过程中,神经前体细胞通过Notch信号通路抑制周围上皮细胞向神经细胞分化 1C.在Hippo信号通路中,机械信号可通过调节Taz活性介导周围细胞命运转化D.当分化细胞受到损伤发生凋亡时,其周围邻近细胞的命运不会发生改变,D -47,选择题,生物,形态发生素(morphogen)是一类携带决定细胞分化方向相关信息的可扩散物质,下列选项中不属于形态发生素BMP功能的是: A.在肢体形态建成的过程中,调节侧肢的极性 B.作为凋亡诱导信号,启动细胞凋亡的发生 C.与钙调蛋白(CaM)共同作用,通过表达浓度的不同,决定地雀喙的形态D.作为诱导信号,诱导外胚层分化为神经管与神经嵴细胞,D -48,问答题,材料工程,将一种 50 wt% 镍(Ni)–50 wt% 铜(Cu)的合金从 1400℃(2550°F)缓慢冷却至 1200℃(2190°F)。 (a) 第一固相在什么温度形成(单位摄氏度)? (b) 该固相的成分是什么? (c) 液体在什么温度完全凝固(单位摄氏度)? (d) 最后剩余液相的成分是什么?,"1315, 63 wt% Ni–37 wt% Cu, 1260, 38 wt% Ni–62 wt% Cu" -49,问答题,材料工程,一个质量为 2.0 千克、成分为 85 wt% 铅(Pb) - 15 wt% 锡(Sn)的合金试样被加热到 200℃(390°F);在该温度下,它完全是 α 相固溶体。要使合金熔化到一半为液态,另一半为 α 相的状态。这可以通过加热合金,或者在保持温度不变的情况下改变其成分来实现。在 200℃时,需要向 2.0 千克的试样中加入多少锡才能达到这种状态(单位千克)?,0.65625 -50,问答题,计算机,"Z信道的输入和输出字母表均为 {0, 1},其信道由以下转移概率矩阵描述:[[1, 0], [\alpha, 1-\alpha]]. 记使得该信道达到其容量的输入分布为P。考虑当输入服从均匀分布,即Pr(X=0) = Pr(X=1) = 0.5时,通过该信道的互信息(信息传输率)I(X; Y),将该值与输入服从P分布时的容量进行比较,请给出当\alpha \in [0,1]时,使用均匀输入分布相对于容量最优分布所损失的信息传输率百分比的最大值,精确到小数点后两位",5.75 -51,问答题,计算机,假设每个数据块大小为 1024 字节,每个块号占用 4 字节。请问,为了找到目录项 /usr,最多需要遍历多少个数据块?不需要考虑实际目录大小,只考虑理论情况。,16843020 -52,问答题,材料工程,考虑一个由面心立方(f.c.c.)单晶制成的涡轮叶片。若该叶片在 [331] 方向上的单轴屈服强度为 200 MPa,假设 Schmid 定律成立,求其临界分解剪应力(精确到2位小数,单位为MPa),85.94 -53,问答题,材料工程,一块铝单晶被制成拉伸棒,其晶体方向 [3 2 \bar{1}] 与拉伸轴对齐。在沿 [3 2 \bar{1}] 方向施加拉伸的情况下,该滑移系上的剪应力与拉伸应力的比值是多少?精确到小数点后三位,0.466 -54,问答题,材料工程,一个“夹层结构”由一块玻璃板夹在两块聚甲基丙烯酸甲酯(PMMA)板之间构成。假设玻璃与PMMA 的总厚度相等,且两种材料均为各向同性,蠕变效应可忽略。材料性质如下:热膨胀系数(单位:K^-1)- 玻璃:9.0 × 10^-6,PMMA:90.0 × 10^-6;杨氏模量(单位:GPa)- 玻璃:69.0,PMMA:3.45;泊松比 - 玻璃:0.28,PMMA:0.38;假设该复合材料在 40°C 时无应力。当夹层被冷却到 20°C 时,求各材料中产生的应力,单位MPa,8.52 -55,问答题,材料工程,给定的刚度系数为:C11 = 186.0 GPa,C12 = 157.0 GPa,C44 = 42.0 GPa。材料的弹性顺应系数为:S11 = 23.3 × 10^-3 GPa^-1,S12 = -10.7 × 10^-3 GPa^-1,S44 = 24.0 × 10^-3 GPa^-1。求锗(Germanium)在 [110] 晶体方向上的杨氏模量(单位GPa),并计算单晶锗在沿 [110] 方向施加 100 Pa 单轴压缩时的单位体积能量。,"81.3, 6.15 \times 10^-8" -56,问答题,材料工程,在金属板或片材的平辊轧过程中,材料的宽度几乎不会发生变化。一张铝板的厚度由 0.050 英寸被压缩到 0.025 英寸。假设材料服从 von Mises 屈服准则。求辊轧过程中所产生的等效应变,精确到小数点后四位,0.8002 -57,问答题,金融,你被Broadcom,一家多元化的软件公司聘请,协助其收购VMWare,一家云计算公司。VMWare 已在云计算和虚拟化领域中确立了重要地位,并吸引了多家大型公司的兴趣。Broadcom 正在考虑对 VMWare 发起收购,并需要你提供专业意见来分析此次收购在财务上的可行性。VMWare 的财务信息如下:当前股权市值:5亿美元;债务市值:2亿美元;当前债务成本:9%;权益贝塔值(Beta):1.8;Broadcom 当前的股权市值为 45 亿美元,非负债权益成本为 9%。Broadcom 管理层认为,此次收购将带来每年 3000 万美元的额外税后协同效应,并将以每年 2% 的速度持续增长,原因是他们可以通过 Broadcom 现有客户网络扩展 VMWare 的业务。在第一年,他们预计将产生 4000 万美元的额外整合成本(该成本为不可抵扣支出)。在计算去杠杆和重新加杠杆贝塔值时,请使用 Modigliani-Miller(MM)公式。当前无风险利率为 4%,市场风险溢价为 7%。企业所得税率为 30%。此外,假设债务的贝塔值不为零,且债务水平不会持续再平衡。另外,VMWare 一直在大力投资研发,占其年度收入的 10%,这显示了其对创新的重视。而 Broadcom 最近的市场活动也表现出其进军新软件领域的兴趣,比如在上一季度广告支出增加了 5%。VMWare 的非负债权益成本是多少?,14.94% -58,问答题,金融,某养老基金目前的投资组合包括200万美元投资于标普指数投资组合,假设该投资组合的连续复利收益率服从正态分布,年均收益率为10%,标准差为20%。目前养老负债的现值也为200万美元,且其连续复利增长率也被假设为服从正态分布,年均增长率为4%,标准差为8%。假设标普收益率与养老负债增长率之间的相关系数为0.3。如果在未来五年内投资组合没有新增资金或取出资金,该计划在五年后资金不足的概率是多少?(百分数,精确到小数点后一位),24.20% -59,问答题,金融,你所在的公司正在考虑向一家保险公司进行一次性付款,以支付未来承诺给退休人员的医疗福利。具体来说,这笔付款将在五年后支付,金额为1000万美元。作为财务主管,你被要求确定目前需要投资的金额,以确保这项投资在五年后至少有80%的概率能够覆盖所需的1000万美元付款。该笔资金将投资于一个投资组合,其连续复利年化收益率服从正态分布,年均收益率为8%,标准差为15%。计算今天需要投资多少资金(单位为百万美元,精确到小数点后一位),88.8 -60,问答题,金融,一所小型学院目前将其1亿美元的捐赠基金投资于一个复制标普500指数的投资组合。该投资组合的连续复利年化收益率服从正态分布,平均为10%,标准差为20%。学院正在考虑一项提案,将这些资产注入一个信托基金,并以此换取两类股份:普通股和优先股。该信托将作为一个标普500指数基金进行管理,期限为30年。在第30年末,普通股将获得超出“赎回价值”的任何信托资产;而优先股将获得赎回价值或信托资产总额中的较小者。赎回价值是指初始信托资金以年化3%的连续复利增长30年所得到的金额。优先股获得全部赎回价值的概率是多少?(百分数,精确到小数点后一位),97.20% -61,问答题,金融,假设下列是零息无风险(美国国债)债券的到期收益率。也就是说,若某只零息债券在 t 年后支付 1 美元,那么其价格 p_t 满足:p_t = 1 / (1 + y_t)^t。债券A:到期时间2年 收益率0.016;债券B:到期时间3年 收益率0.018;债券C:到期时间4年 收益率0.021;债券D:到期时间5年 收益率0.022。(a) 在债券 B、C 或 D 中,哪一只债券具有最高的“套息收益”,即在债券收益率不变的情况下哪只债券提供最高的回报?如果收益率不变,该债券在接下来一年内的收益率是多少?如果所有债券的收益率在未来一年上升50个基点(即0.005),那么该债券在未来一年的收益率是多少?,"C, 3%, 1.5%" -62,问答题,金融,一家风投公司希望以 1000 万美元的投资前估值对某公司进行 500 万美元的 B 轮投资。该公司的 A 轮融资后估值为 1500 万美元。A 轮投资者在 A 轮融资后持有完全稀释后股份总数的 1/3,其余 2/3 由创始人持有。A 轮投资者享有全额反稀释保护(full-ratchet protection)。在 B 轮融资完成后,创始人的完全稀释持股比例是多少?,1月3日 -63,问答题,数学,已知 $abc = -1$,$\dfrac{a^2}{c} + \dfrac{b}{c^2} = 1$,$a^2 * b + b^2 * c + c^2 * a = p$,,求 $a * b^5 + b * c^5 + c * a^5$ 的值。,3 -64,问答题,计算机,"下面的 Verilog 模块是做什么的?请给出高度概括且精确的解释: - module mod1(input wire [2:0] a, - input wire [2:0] b, - output wire [2:0] c); - wire [2:0] t0 = b[0] ? a : 3'b000; - wire [2:0] t1 = b[1] ? {a[1:0], 1'b0} : 3'b000; - wire [2:0] t2 = b[2] ? {a[0], 2'b00} : 3'b000; - assign c = t0 + t1 + t2; - endmodule",3位乘法器 -65,问答题,数学,"设 (X, Y) 是一对标准二维正态随机变量,其相关系数为 \rho。 (a) 计算期望 E[(1 + X + 2Y)^4] (b) 设 (X′, Y′) 是另一对独立于 (X, Y) 的标准二维正态随机变量,其相关系数也为 \rho。若 \rho = 1/√2,计算 P(X′ > X | Y′ > Y)。","106 + 144\rho + 48 \rho^2, 3/4" -66,选择题,生物,关于发育的本质,下列说法正确的是 A.包括五个基本发育过程 B.发育过程相互依赖 C.基本发育过程有着严格的发生顺序 D.图示形成导致细胞之间的不同,ABD -67,选择题,生物,参与调控组蛋白乳酸化修饰的酶有哪些? A. p300 B. HDAC1-3 C. HBO1 D. Sirt1-3,ABCD -68,问答题,计算机,"考虑拟阵贪心算法(Matroid Greedy Algorithm)。设 (E,I) 是输入的拟阵。假设对于任意子集 S \in E,判断 S 是否为独立集所需时间为 c(|E|),其中 c 是某个递增函数。请问该算法的最佳运行时间是多少?",O(n\logn + n·c(n)) -69,问答题,材料工程,"含碳量3.5%的铁碳合金, 在室温时由哪两个相构成?各占的重量百分数是多少?答案保留到整数位",铁素体48%,渗碳体52% -70,选择题,材料工程,"某金属中扩散激活能Q=150kJ/mol, 在温度T1=800K时扩散系数为D1=1\times10^-12 m^2/s, 则T2=1000K时的扩散系数D2约为: -A. 1×10 −10 -B. 3×10 − 11 -C. 5×10 − 12 -D. 8×10 − 13 ",B -71,选择题,机械工程,“道路阻力系数”由以下各参数相加得到( )。(多选题) A.滚动阻力系数 B.空气阻力系数 C.坡度 D.传动比 E.旋转质量换算系数,AC -72,问答题,金融," -某息票率为14%,剩余期限18年2个月和18年5个月的两个可交割债券A和B。假定标准券息票率为8%,期货的报价为90-00,求(1)A和B的转换因子分别为多少?(2)若空头方选择债券A和B交割,分别应收到的现金是多少?","(1)A:1.5673, B:1.5705;(2)A:141057, B:144845" -73,问答题,化学,甲基红是一种常见的酸碱指示剂,将其记为 HMR,现通过分光光度法测定其的酸解离常数。先制备两种溶液 A 和 B:溶液 A 是通过将 10 mL 的标准甲基红溶液和 10 mL 的 0.1 M 盐酸混合后稀释至 100 mL 制成的。这个溶液的 pH 约为 2,因此甲基红完全以 HMR⁺ 的形式存在。溶液 B 是通过将 10 mL 的标准甲基红溶液和 25 mL 的 0.04 M 醋酸钠混合后稀释至 100 mL 制成的。这个溶液的 pH 约为 8,因此甲基红完全以 MR⁻ 的形式存在。将适量溶液 A 和 B 分别以 1 cm 比色皿中,并在 350 至 600 nm 之间测量吸光度与水的对比。HMR⁺ 的最大吸收峰位于 520 nm,MR⁻ 的最大吸收峰位于 425 nm。第二步为确定它们在 A 和 B 溶液中的吸光系数。取部分溶液 A 和 B 分别使用 0.01 M 的盐酸和 0.01 M 的醋酸钠稀释至其初始浓度的 0.75 倍、0.50 倍和 0.25 倍。这些溶液在 λ(A)和 λ(B)处相对于水的吸光度可以测得如下:A 的稀释倍数为 1、0.75、0.5 和 0.25 时,在 λ(A)处的吸光度分别为 0.618、0.478、0.375 和 0.258,在 λ(B)处的吸光度分别为 0.054、0.039、0.033 和 0.017。B 的稀释倍数为 1、0.75、0.5 和 0.25 时,在 λ(A) 处的吸光度分别为 0.058、0.049、0.028 和 0.019,在 λ(B) 处的吸光度分别为 0.584、0.482、0.387 和 0.283。第三步是确定溶液中 HMR⁺ 和 MR⁻ 的相对量和 pH 值。通过向用 0.04 M 醋酸钠溶液缓冲的标准指示溶液中加入 0.02 M 醋酸,制备一系列溶液。测量溶液在 λ(A) 和λ(B)处的吸光度,并确定 pH 值。经测得,pH = 5.82 的缓冲溶液在 λ(A)处的吸光度为 0.067,在 λ(B)处的吸光度为 0.286。分别计算HMR和MR-在λ(A)处的吸光系数之比、在λ(B)处的吸光系数之比和甲基红的pKa。,"8.57, 0.117, 4.74" -74,问答题,机械工程,想用一个一阶系统做 100Hz 正弦信号的测量,如要求限制振幅误差在 5%以内,那么时间常数应取多少?若用该系统测量 50Hz 正弦信号,问此时的振幅误差和相角差(单位为度)是多少?,≤523μs,1.3%, -9.33° -75,选择题,物理,"若有4.5GeV 的自由能,理论上能产生的最重的同位素是什么? -A. ²D -B. ³He -C. ³T -D. ⁴He",A -76,选择题,材料工程,"所有金属催化剂几乎都是过渡金属,主要是因为他们? -A.易失去电子 B.易得到电子 C. 易强烈吸附反应物D. 有着d电子结构",D -77,问答题,材料工程,写出中心金属原子为V、Cr、Mn、Fe、Co、Ni的最简单的羰基化合物的化学式,并加以说明。,"| | V | Cr | Mn | Fe | Co | Ni | -| ---- | ---- | ---- | ---- | ---- | ---- | ---- | -| 化合物 | V(CO)₆ | Cr(CO)₆ | Mn₂(CO)₁₀ | Fe(CO)₅ | Co₂(CO)₈ | Ni(CO)₄ | -| 价电子组态 | 3d³4s² | 3d⁵4s¹ | 3d⁵4s² | 3d⁶4s² | 3d⁷4s² | 3d⁸4s² | -| VEN | 5 | 6 | 7 | 8 | 9 | 10 | -| $CN=\frac{18 - VEN}{2}$ | 6.5 | 6 | 5.5 | 5 | 4.5 | 4 | - -其中,偶电子数时,Cr、Fe、Ni形成简单的羰基化合物Cr(CO)₆、Fe(CO)₅、Ni(CO)₄。 -V、Mn、Co为奇电子数,理论上应形成双核配合物以满足18e⁻规则,Mn、Co分别形成Mn₂(CO)₁₀、Co₂(CO)₈ 。但对V来说,双核配合物位阻大,不稳定,因此容易形成V(CO)₆,不满足18e⁻规则,易被氧化。 " -78,选择题,化学,"拉乌尔定律(Raoult's Law)的适用条件有: -A. 只在高压下 -B. 只在理想溶液中 -C. 只在理想稀薄溶液中 -D. 只在非理想溶液中",B -79,选择题,数学,"110, 523,422,936,761,() - -A. 164 -B. 283 -C. 312 -D. 971",C -80,问答题,化学,空气和 CCl4 混合气中含0.05(摩尔比,下同)的 CCl4 ,用煤油吸收其中90%的 CCl4 。混合气流率为150kmol惰气/(m2 h ),吸收剂分两股入塔,由塔顶加入的一股CCl4组成为0.004。另一股在塔中一最佳位置(溶剂组成与塔内此截面上液相组成相等)加入,其组成为0.014,两股吸收剂摩尔流率比为1:1。在第二股吸收剂入口以上塔内的液气比为0.5,气相总传质单元高度为 lm ,在操作条件下相平衡关系为 Y *=0.5X,吸收过程可视为气膜控制。试求:(1)第二股煤油的最佳入塔位置及填料层总高度;(2)若将两股煤油混合后从塔顶加入,为保持回收率不变,所需填料层高度为多少?," -(1) 填料层高度为4.074米处进料,总高度为5.71米 -(2) 7.653米" -81,问答题,化学,"现有一单壳程双管程列管式换热器,管子尺寸φ25mmx2.5mm,管长为2.5m,共114根,用来将管内流量为 7x10^4kgh 的溶液由 40℃加热至80℃,壳程为 130℃饱和水蒸气冷凝加热,其传热系数为10000W/(m^2·℃),管内、外侧污垢热阻及热损失均忽略不计,已知:管材的热导率λ0为45W/(m·℃),操作范围内溶液的物性参数为:ρ=900kg/m3,μ=0.8cP,Cp=1.80kJ/(kg·℃),λ=0.14W/(m·℃) - -(1).管内对流传热系数 -(2).以外表面为基准的总传热系数K -(3).通过计算判断该换热器能否满足换热需求","(1) 1441.7 W/(m^2 * °C) -(2) 972 W/(m^2 * °C) -(3) 能满足" -82,问答题,化学,"用离心泵将水从水池送至敞口高位槽,两液面高度差为 12m 且保持不变,输送管为φ57x3.5mm的钢管,吸入管路总长为20m,压出管路总长为155m(均包括所有局部阻力的当量长度),管路摩擦系数λ=0.02(假设流体流动进入阻力平方区,且不随相对粗糙度发生变化),水的密度取 1000kg/m^3,n=2900r/min 时离心泵的特性方程为H=60-0.61qv2(H-m,qv-m3/h),试求: -(1).管路中水的流量(m3/h) -(2).泵入口处真空表读数(高度差为1.5m) -(3).现要求送水量变为10m3/h,采用改变离心泵叶轮转速的方法,试问应将离心泵转速调整至多少r/min?","(1) 8.4m^3/h -(2) 21.1kPa -(3) 3353 r/min" -83,问答题,数学,"LTI离散时间系统的的转移函数为$H(z)=\frac{1 - 0.5z^{-1}}{1 - 0.25z^{-2}}$,$|z|>0.5$ -该系统是因果系统吗?确定该系统的冲激响应。","$H(z)=\frac{z^{2}-0.5z}{z^{2}-0.25}=\frac{z}{z + 0.5}$ ,$|z|>0.5$ -$h(n)=\frac{1}{1-\frac{-0.5}{z}}=(-0.5)^{n}u(n)$ -该系统的冲激响应为$h(n)$,由于当$n<0$时,$h(n)\equiv0$,所以该系统是因果系统。 " -84,问答题,数学,"有一信号\(y(n)\)与另两个信号\(x_1(n)\)和\(x_2(n)\)的关系是\(y(n)=x_1(n + 3)*x_2(-n - 1)\), -其中\(x_1(n)=\left(\frac{1}{2}\right)^n u(n)\),\(x_2(n)=\left(\frac{1}{3}\right)^n u(n)\)。利用\(z\)变换的性质求\(y(n)\)的\(z\)变换\(Y(z)\)。","\[ -X_1(z)=\frac{1}{1 - \frac{1}{2}z^{-1}} \quad |z|>\frac{1}{2} -\] -\[ -X_2(z)=\frac{1}{1 - \frac{1}{3}z^{-1}} \quad |z|>\frac{1}{3} -\] -\[ -Y(z)=z^3X_1(z)\cdot zX_2\left(\frac{1}{z}\right)=z^4\frac{1}{1 - \frac{1}{2}z^{-1}}\frac{1}{1 - \frac{1}{3}z}=\frac{z^5}{(z - 0.5)(1 - \frac{1}{3}z)} \quad 3 > |z|>\frac{1}{2} -\] " -85,问答题,生物,现有一条各个组织都表达 Cre 蛋白的杂合雄性斑马鱼和一条定点插入外源基因 A(位于常染色体上, A 基因两侧带有同方向loxP)的转基因纯合雌性杂交,得到F1;已知A基因不影响鱼的繁育和存活, Cre 酶的效率为100%。F1之间随机交配所得F2中,不含A基因的鱼的比例约为,0.6875 -86,问答题,数学,"设X是来⾃Beta(\theta,1)的⼀个单一的观测 设Y=-(logX)^-1,计算集合[y/2,y]的置信系数",0.2387 -87,问答题,生物,某瓢虫种群中,有3种受温度压力选择的基因型个体(aa 、AA和 Aa),其适合度W分别 是2、0.5和 1。试问温度对上述基因型个体选择强度约为:,"0.75(AA),0.5(Aa),0(aa)" -88,问答题,生物,"一条单链RNA序列的长度为400个碱基, 其中腺嘌呤(A)、胞嘧啶(C)、鸟嘌呤(G)、尿嘧啶(U)的比例为2:1:1:2。试问若该RNA序列完全互补配对形成双链RNA, 双链RNA中的氢键总数是多少? (每一步计算过程取整数。)",469 -89,问答题,生物,"一个蛋白质分子中50个氨基酸组成,其中包括5个甲硫氨酸(Me)残基,甲硫氢酸的相对分子质量为149。在蛋白质生物合成过程中,甲硫氨酸总是作为起始氨基���被添加到新生肽链上。然而,在某些情况下,甲硫氨酸会在蛋白质成熟后被移除。如果这种情况发生,那么蛋白质的总相对分子质量将减少多少?",131 -90,选择题,数学,"设x为一个实值随机变量, 满足 P(x=a_i)=p_i, 其中 i=1,…,n.且 a_1\alpha)\leq \beta B. E[x^2] \leq \alpha C. Var(x) \leq \alpha D. Quartile(x) \leq \alpha",ABD -91,问答题,物理,设4.00mol理想单原子气体,其分子转动但不振动,在恒定压强的条件下温度升高60.0K,(a)外界以热量形式传给气体多少能量?(b)气体的内能增加了多少?(c)气体做了多少功?(d)气体的平动动能增加了多少?,(a)6980J (b)4990J (c)1990J (d)2990J -92,问答题,物理,一盖革(Geiger)计数器具有直径为2.00cm的金属圆简,沿圆简的轴紧拉着一根直径为1.30x10-4cm的金属丝。如果金属丝与圆筒之间的电势差为850V,则在(a)金属丝表面处及(b)圆筒表面处的电场各为何?,(a)136MV/m (b)8.82kV/m -93,问答题,计算机,"已知某硅 NPN 晶体管各区的掺杂浓度分别为 -\[ -N_E = 10^{20} \,\text{cm}^{-3}, \quad N_B = 10^{17} \,\text{cm}^{-3}, \qua d N_C = 10^{14} \,\text{cm}^{-3}, -\] -两个结上的电压为 -\[ -V_{BE} = 0.7\,\text{V}, \quad V_{BC} = -12\,\text{V}. -\] -试计算: -\begin{enumerate} -\item 发射结和集电结的耗尽区宽度; -\item 发射结和集电结的单位面积势垒电容。 -\end{enumerate} ","(1)发射结耗尽区宽度 -约为 6.20×10⁻⁶ cm。 -集电结耗尽区宽度 -约为 1.29×10⁻³ cm。 - -(2)发射结单位面积电容 -约为 1.70×10⁻⁷ F/cm²。 -集电结单位面积电容 -约为 8.17×10⁻¹⁰ F/cm²。" -94,问答题,金融," -一家汽车仓库储备了多种零件,销售给社区门店。其中一个零件是一种受欢迎的品牌机油滤清器,仓库以每个1.5元的价格采购。据估算,每次下单和收货的处理成本为每次订单为100元。该公司根据年利28%计算库存持有费用。该滤清器的每月需求服从正态分布,平均值为280,标准差为77。假设订单的提前期为五个月。假设在仓库缺货时仍有客户需要滤清器,则这部分需求将被记为延期交付(back-order),每个延期交付的需求将产生12.8元的成本。请计算,在采用最优策略的前提下,与该物品相关的不确定性成本为多少?四舍五入至整数位。 -提示:比较年平均总成本(包括持有成本、订购成本、缺货成本),与假设“提前期需求量方差为0”时所产生的年平均总成本之差;计算EOQ时请迭代至接近收敛的情形(经试验2次左右)。",187 -95,问答题,计算机,"请判断以下关系模式在函数依赖的范围里分别最高属于__NF(至少1NF)?(答案请按照填空给出数字形式): -R(ABC), F = {A → B}",1 -96,问答题,金融,"以下的R(相关)和N(不相关)表示系统在前20个检索结果中返回的文档相关性。该列表是按系统排序的,从左到右是系统认为最可能相关的文档。文档列表(20 个): - -R R N NNNNN R N R N NN R N NNN R - -整个集合(共10000个文件)共有8个相关文档,当前返回的前20个中含有6个相关文档。 -系统在33%Recall处的插值精准率(Interpolated Precision)是多少?(四舍五入至小数点后三位)",0.364 -97,问答题,数学,"考虑一个M/G/1排队系统,服务两类作业:红色作业和蓝色作业。 - -两者的到达服从泊松过程,红色作业到达率为= 1/4(个/秒),蓝色作业到达率为 = 1/2(个/秒) - -作业服务时间上,红色的平均服务时间为1秒,方差为1;蓝色的平均服务时间为0.5秒,方差为1。 -所有作业进入同一个FCFS(先到先服务)队列(可能在任意时刻服务红色或者蓝色作业,队列中也可能同时存在两种作业)。求红色作业和蓝色作业的平均响应时间。"," -红色作业的平均响应时间为17/8或2.125 -蓝色作业的平均响应时间为13/8或1.625" -98,选择题,数学,"考虑以下非线性规划问题 -\[ -\begin{align*} -\min_{x_1,x_2} &\quad x_2\\ -s.t. &\quad -x_1^2 - (x_2 - 4)^2 + 16 \geq 0\\ -&\quad (x_1 - 2)^2 + (x_2 - 3)^2 - 13 = 0 -\end{align*} -\] -判断下列各点是否为局部最优解: -A. \(x^{(1)}=\begin{pmatrix}0\\0\end{pmatrix}\) -B. \(x^{(2)}=\begin{pmatrix}\frac{16}{5}\\\frac{32}{5}\end{pmatrix}\) -C. \(x^{(3)}=\begin{pmatrix}2\\3 + \sqrt{13}\end{pmatrix}\) ",AB -99,问答题,材料工程,一种由 65 wt% Ni 和 35 wt% Cu 组成的合金被加热至 α + 液相区的某一温度。已知此时 α 相的成分为 70 wt% Ni,试求:合金的温度,1340 - 1360℃之间都算正确 -100,问答题,材料工程,60 wt% Pb – 40 wt% Mg 合金从高温迅速淬火到室温,且保持了高温时的显微组织。显微组织由 α 相与 Mg₂Pb 相组成,两相的质量分数���别为 0.42 和 0.58。求该合金淬火前的大致温度。,400℃±5%以内都可以算正确 \ No newline at end of file +id,type,subject,prompt,answer,canary +1,选择题,材料工程,pv3FpsDapMnrx/DhsPmNf2iq+vWjmuGs0dS3kd+1//mmxpWn04e18fCs3a2y2diyuPGm3d6p36rG+85GQVuaoMV1CGrG4dSB0/CPlsCF9+GJ0t6037FMh8CxenAn0K20cHIhBBQjTNOwu9CMmMiw4tSAl9Xxm9y27UEBa6r+xaTVy66PwqTu5wAXZqnt5aGa6A==,Bg==,BENCHMARK DATA SHOULD NEVER APPEAR AS PLAIN TEXT ONLINE. canary GUID xbench-ScienceQA:dbf383d3-561b-4ab5-9880-5a3470a051ba 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